Keyword

summability

Description: A branch of mathematical analysis studying methods for assigning sums to infinite series, including some divergent series.

Primary topic: Approximation Theory and Sequence Spaces (63%)

OpenAlex ID: keywords/summability

On Statistical Convergence

1985 · J. A. Fridy · Analysis · 1,565

Introduction to the Theory of Infinite Series

1966 · Bromwich, Thomas John I'Anson, 1875-1929., MacRobert, Thomas Murray. · Students Quarterly Journal · 732

On the Walsh Functions

1949 · N. J. Fine · Transactions of the American Mathematical Society · 558

PDF

Summability through Functional Analysis

1984 · North-Holland mathematics studies · 550

Fourier series : a modern introduction

1982 · R. E. Edwards · 502

Classical and Modern Methods in Summability

2000 · Johann Boos, Peter Cass · 492

Fourier Analysis: An Introduction

2003 · Elias M. Stein, Rami Shakarchi · 478

Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation

1970 · J. H. Bramble, S. R. Hilbert · SIAM Journal on Numerical Analysis · 437

Statistical convergence of double sequences

2003 · Mursaleen, Osama H.H. Edely · Journal of Mathematical Analysis and Applications · 399

PDF

Decision procedure for indefinite hypergeometric summation

1978 · R. William Gosper · Proceedings of the National Academy of Sciences · 391

Summationsmethoden und Momentfolgen. I

1921 · Felix Hausdorff · Mathematische Zeitschrift · 323

Modern Methods in Topological Vector Spaces

1978 · Albert Wilansky · CERN Document Server (European Organization for Nuclear Research) · 299

Summability Theory And Its Applications

2012 · BENTHAM SCIENCE PUBLISHERS eBooks · 295

Divergent Double Sequences and Series

1926 · G. M. Robison · Transactions of the American Mathematical Society · 245

PDF

Positive linear operators which preserve x 2

2003 · J. P. King · Acta Mathematica Academiae Scientiarum Hungaricae · 244

Linear subsets of nonlinear sets in topological vector spaces

2013 · Luis Bernal-González, Daniel Pellegrino, et al. · Bulletin of the American Mathematical Society · 218

Summability Theory and Its Applications

2022 · Feyzi Başar · Chapman & Hall/CRC eBooks · 217

On Some Infinite Series Involving Arithmetical Functions (ii)

1937 · H. DAVENPORT · The Quarterly Journal of Mathematics · 216

Trigonometric Series

2003 · A. Zygmund, Robert Fefferman · Cambridge University Press eBooks · 206

On the summability of double Fourier series

1939 · J. Marcinkiewicz, Antoni Zygmund · Fundamenta Mathematicae · 198

PDF

Ein Satz aus der Theorie der unendlichen Reihen

1897 · A. Tauber · Monatshefte für Mathematik · 168

�ber divergente Folgen und lineare Mittelbildungen

1925 · Robert Schmidt · Mathematische Zeitschrift · 154

A Matrix Characterization of Statistical Convergence

1991 · J. A. Fridy, H. I. Miller · Analysis · 149

Coordinatewise multiple summing operators in Banach spaces

2010 · Andreas Defant, Dumitru Popa, et al. · Journal of Functional Analysis · 139

Solved and Unsolved Problems in the Theory of Trigonometric and Orthogonal Series

1964 · P L Ul'yanov · Russian Mathematical Surveys · 127

Works count: 3,188

Citation count: 25,610